Search a number
-
+
11002330200 = 2335228165257
BaseRepresentation
bin10100011111100101…
…00011110001011000
31001101202211021200010
422033302203301120
5140013044031300
65015430041520
7536435156301
oct121762436130
931352737603
1011002330200
11473658a584
1221707a92a0
131064562174
147653197a8
15445d9ea50
hex28fca3c58

11002330200 has 96 divisors (see below), whose sum is σ = 34229126160. Its totient is φ = 2923468800.

The previous prime is 11002330169. The next prime is 11002330201. The reversal of 11002330200 is 203320011.

It is a happy number.

11002330200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002330201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135972 + ... + 201228.

Almost surely, 211002330200 is an apocalyptic number.

11002330200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114563080).

11002330200 is an abundant number, since it is smaller than the sum of its proper divisors (23226795960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11002330200 is a wasteful number, since it uses less digits than its factorization.

11002330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65557 (or 65548 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11002330200 its reverse (203320011), we get a palindrome (11205650211).

The spelling of 11002330200 in words is "eleven billion, two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 281 300 562 600 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 7025 8430 11240 14050 16860 21075 28100 33720 42150 56200 65257 84300 130514 168600 195771 261028 326285 391542 522056 652570 783084 978855 1305140 1566168 1631425 1957710 2610280 3262850 3915420 4894275 6525700 7830840 9788550 13051400 18337217 19577100 36674434 39154200 55011651 73348868 91686085 110023302 146697736 183372170 220046604 275058255 366744340 440093208 458430425 550116510 733488680 916860850 1100233020 1375291275 1833721700 2200466040 2750582550 3667443400 5501165100 11002330200